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Finding the Third Proportional to 841,878 and 1,846,746

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Solution

The third proportional to 841,878 and 1,846,746 is: 4,051,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,878 : 1,846,746 = 1,846,746 : x
  2. Step 2: Convert to fraction form
    841,878/1,846,746 = 1,846,746/x
  3. Step 3: Cross multiply
    841,878x = 1,846,746 × 1,846,746
  4. Step 4: Simplify right side
    841,878x = 3,410,470,788,516
  5. Step 5: Solve for x
    x = 3,410,470,788,516/841,878
  6. Step 6: Final answer
    x = 4,051,027.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.